Level density of the Hénon-Heiles system above the critical barrier energy

URN to cite this document:: urn:nbn:de:bvb:355-epub-16551
DOI to cite this document:: 10.5283/epub.1655

Brack, Matthias ; Kaidel, Jörg ; Winkler, Peter ; Fedotkin, Sergey

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Date of publication of this fulltext: 05 Aug 2009 13:30

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Abstract

We discuss the coarse-grained level density of the Hénon-Heiles system above the barrier energy, where the system is nearly chaotic. We use periodic orbit theory to approximate its oscillating part semiclassically via Gutzwiller's semiclassical trace formula (extended by uniform approximations for the contributions of bifurcating orbits). Including only a few stable and unstable orbits, we ...